Reduced Basis Methods for Partial Differential Equations
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Reduced Basis Methods for Partial Differential Equations
An Introduction
Negri, Federico; Manzoni, Andrea; Quarteroni, Alfio
Springer International Publishing AG
07/2015
296
Mole
Inglês
9783319154305
15 a 20 dias
4745
Descrição não disponível.
1 Introduction.- 2 Representative problems: analysis and (high-fidelity) approximation.- 3 Getting parameters into play.- 4 RB method: basic principle, basic properties.- 5 Construction of reduced basis spaces.- 6 Algebraic and geometrical structure.- 7 RB method in actions.- 8 Extension to nonaffine problems.- 9 Extension to nonlinear problems.- 10 Reduction and control: a natural interplay.- 11 Further extensions.- 12 Appendix A Elements of functional analysis.
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Computational complexity reduction;Finite element method;Parametrized differential problems;Reduced basis methods;Reduced order modeling;partial differential equations
1 Introduction.- 2 Representative problems: analysis and (high-fidelity) approximation.- 3 Getting parameters into play.- 4 RB method: basic principle, basic properties.- 5 Construction of reduced basis spaces.- 6 Algebraic and geometrical structure.- 7 RB method in actions.- 8 Extension to nonaffine problems.- 9 Extension to nonlinear problems.- 10 Reduction and control: a natural interplay.- 11 Further extensions.- 12 Appendix A Elements of functional analysis.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
